Glencoe/McGraw-Hill
Impact Mathematics ©2000
Course 2
ISBN# 1-57-039855-0
alignment to
Indiana
Academic Mathematics Standards
Grade 7
GLENCOE/MCGRAW-HILL
GLENCOE IMPACT MATHEMATICS ©2000
COURSE 2
ALIGNMENT TO
INDIANA
ACADEMIC MATHEMATICS STANDARDS
GRADE 7
OBJECTIVES
PAGE REFERENCES
Number Sense
Students understand and use scientific notation and square roots. They convert between fractions
and decimals.
7.1.1 Read, write, compare and solve
PE:
196–199, 200–202, 205, 206–211,
problems using whole numbers in
213–215, 287
scientific notation.
TWE: T196–T199, T200–T202, T205,
T206–T211, T213–T215, T287
7.1.2
7.1.3
Compare and order rational and
common irrational numbers and place
them on a number line.
PE:
222–227, 228–229, 255
TWE:
T222–T227, T228–T229, T255
Identify rational and common irrational
numbers from a list.
TWE:
T248
Impact Mathematics Course 3: Chapter 3
7.1.4
7.1.5
7.1.6
7.1.7
Understand and compute whole
number powers of whole numbers.
PE:
149–150, 153, 155, 192–195, 374
TWE:
T149–T150, T153, T155, T192–T195,
T374
Find the prime factorization of whole
numbers and write the results using
exponents.
PE:
148, 163, 175, 343, 376, 408, 418, 496
TWE:
T148, T163, T175, T343, T376, T408,
T418, T496
Understand and apply the concept of
square root.
PE:
271, 272, 273–275, 276, 277
TWE:
T271, T272, T273–T275, T276, T277
PE:
51, 126, 418, 496
TWE:
T51, T126, T418, T496
Convert terminating decimals into
reduced fractions.
1
GLENCOE/MCGRAW-HILL
GLENCOE IMPACT MATHEMATICS ©2000
COURSE 2
ALIGNMENT TO
INDIANA
ACADEMIC MATHEMATICS STANDARDS
GRADE 7
OBJECTIVES
PAGE REFERENCES
Computation
Students solve problems involving integers, fractions, decimals, ratios, and percentages.
PE:
4–9, 14–21, 22–31, 40, 384–387, 392–
7.2.1 Solve addition, subtraction,
394, 410–414, 415–418
multiplication, and division problems
that use integers, fractions, decimals,
TWE: T4–T9, T14–T21, T22–T31, T40,
and combinations of the four
T384–T387, T392–T394, T410–T414,
operations.
T415–T418
7.2.2
7.2.3
7.2.4
7.2.5
Calculate the percentage increase and
decrease of a quantity.
PE:
568–571, 576, 577, 578, 580, 581
TWE:
T568–T571, T576, T577, T578, T580,
T581
PE:
566–568, 571, 572–574, 582
TWE:
T566–T568, T571, T572–T574, T582
Use estimation to decide whether
answers are reasonable in problems
involving fractions and decimals.
PE:
588–589, 591–592
TWE:
T588–T589, T591–T592
Use mental arithmetic to compute with
simple fractions, decimals, and powers.
PE:
19–21, 22–31, 193, 194
TWE:
T19–T21, T22–T31, T193, T194
Solve problems that involve discounts,
markups, and commissions.
2
GLENCOE/MCGRAW-HILL
GLENCOE IMPACT MATHEMATICS ©2000
COURSE 2
ALIGNMENT TO
INDIANA
ACADEMIC MATHEMATICS STANDARDS
GRADE 7
OBJECTIVES
PAGE REFERENCES
Algebra and Functions
Students express quantitative relationships using algebraic terminology, expressions, equations,
inequalities, and graphs.
PE:
4–9, 10–21, 22–30, 32–33, 34–36, 37–
7.3.1 Use variables and appropriate
45, 46–49, 52–57, 67, 73–74, 386–
operations to write an expression, a
387, 392–394, 396–403, 404–407,
formula, an equation, or an inequality
411, 413, 415–417, 419–428, 429–431
that represents a verbal description.
7.3.2
7.3.3
7.3.4
7.3.5
TWE:
T4–T9, T10–T21, T22–T30, T32–
T33, T34–T36, T37–T45, T46–T49,
T52–T57, T67, T73–T74, T386–T387,
T392–T394, T396–T403, T404–T407,
T411, T413, T415–T417, T419–T428,
T429–T431
Write and solve two-step linear
equations and inequalities in one
variable and check the answers.
PE:
345–353, 354–361, 437–439
TWE:
T345–T353, T354–T361, T437–T439
Use correct algebraic terminology,
such as variable, equation, term,
coefficient, inequality, expression, and
constant.
PE:
4–31, 32–35, 57, 232-233, 367-368
TWE: T4–T31, T32–T35, T57, T232-T233,
T367-T368
PE:
Evaluate numerical expressions and
simplify algebraic expressions by
applying the correct order of operations
TWE:
and the properties of rational numbers
(e.g., identity, inverse, commutative,
associative, distributive). Justify each
step in the process.
Solve an equation or formula with two
variables for a particular variable.
PE:
4–9, 10–21, 22–31, 52–53, 54–63, 64–
67, 68–75, 155
T4–T9, T10–T21, T22–T31, T52–
T53, T54–T63, T64–T67, T68–T75,
T155
29
TWE: T29
Hot Words Hot Topics: 289, 291
3
GLENCOE/MCGRAW-HILL
GLENCOE IMPACT MATHEMATICS ©2000
COURSE 2
ALIGNMENT TO
INDIANA
ACADEMIC MATHEMATICS STANDARDS
GRADE 7
7.3.6
7.3.7
7.3.8
7.3.9
OBJECTIVES
Define slope as vertical change per unit
of horizontal change and recognize that
a straight line has constant slope or rate
of change.
PE:
PAGE REFERENCES
323–328, 303-309, 313-319
TWE: T321, T323–T328, T303-T309, T313T319
Find the slope of a line from its graph.
PE:
324–325, 327, 328–329, 330, 331–
333, 334, 336–338, 340
TWE:
T324–T325, T327, T328–T329, T330,
T331–T333, T334, T336–T338, T340
PE:
325, 348–350, 352, 353, 355, 356, 359
TWE:
T325, T348–T350, T352, T353, T355,
T356, T359
Identify functions as linear or nonlinear PE:
and examine their characteristics in
tables, graphs, and equations.
TWE:
351–353, 355, 356, 358, 359, 437–439
Draw the graph of a line given the
slope and one point on the line, or two
points on the line.
7.3.10 Identify and describe situations with
constant or varying rates of change and
know that a constant rate of change
describes a linear function.
T351–T353, T355, T356, T358, T359,
T437–T439
PE:
303–308, 309–311, 316–317
TWE:
T303–T308, T309–T311, T316–T317
Geometry
Students deepen their understanding of plane and solid geometric shapes by constructing shapes
that meet given conditions and by identifying attributes of shapes.
PE:
254-258, 259–266, 268-278
7.4.1 Understand coordinate graphs and use
them to plot simple shapes, find
TWE: T254-T258, T259–T266, T268-T278
lengths and areas related to the shapes
and find their images under translations
(slides), rotations (turns), and
reflections (flips).
4
GLENCOE/MCGRAW-HILL
GLENCOE IMPACT MATHEMATICS ©2000
COURSE 2
ALIGNMENT TO
INDIANA
ACADEMIC MATHEMATICS STANDARDS
GRADE 7
7.4.2
7.4.3
7.4.4
OBJECTIVES
Understand that transformations such
as slides, turns, and flips preserve the
length of segments, and that figures
resulting from slides, turns, and flips
are congruent to the original figures.
PAGE REFERENCES
Hot Words Hot Topics: 344-348
Know and understand the Pythagorean
Theorem and use it to find the length
of the missing side of a right triangle
and the lengths of other line segments.
Use direct measurement to test
conjectures about triangles.
PE:
Construct two-dimensional patterns
(nets) for three-dimensional objects,
such as right prisms, pyramids,
cylinders, and cones.
PE:
269–272, 273–275, 276–277
TWE: T269–T272, T273–T275, T276–T277
129–135, 136–138
TWE: T129–T135, T136–T138
Measurement
Students compare units of measure and use similarity to solve problems. They compute the
perimeter, area, and volume of common geometric objects and use the results to find measures of
less regular objects.
PE:
98–99, 103–104, 109–116, 117–119,
7.5.1 Compare lengths, areas, volumes,
120–121, 122–126, 132–135, 138–
weights, capacities, times, and
139, 142–143
temperatures within measurement
systems.
TWE: T98–T99, T103–T104, T109–T116,
T117–T119, T120–T121, T122–T126,
T132–T135, T138–T139, T142–T143
7.5.2
Use experimentation and modeling to
visualize similarity problems. Solve
problems using similarity.
5
PE:
451–463, 464–466, 471–477, 548–553
TWE:
T451–T463, T464–T466, T471–T477,
T548–T553
GLENCOE/MCGRAW-HILL
GLENCOE IMPACT MATHEMATICS ©2000
COURSE 2
ALIGNMENT TO
INDIANA
ACADEMIC MATHEMATICS STANDARDS
GRADE 7
7.5.3
7.5.4
7.5.5
7.5.6
OBJECTIVES
Read and create drawings made to
PE:
scale, construct scale models, and solve
problems related to scale.
TWE:
PAGE REFERENCES
482–484, 485–488, 489–491, 492–
495, 497–505, 506–511, 515, 517
T482–T484, T485–T488, T489–T491,
T492–T495, T497–T505, T506–T511,
T515, T517
Use formulas for finding the perimeter
and area of basic two-dimensional
shapes and the surface area and volume
of basic three-dimensional shapes,
including rectangles, parallelograms,
trapezoids, triangles, circles, right
prisms, and cylinders.
PE:
485–488, 489, 492–495, 500–505,
506–512
TWE:
T485–T488, T489, T492–T495,
T500–T505, T506–T512
Estimate and compute the area of more
complex or irregular two-dimensional
shapes by dividing them into more
basic shapes.
PE:
490–491, 495
TWE: T490–T491, T495
Hot Words Hot Topics: 356, 361
PE:
98–99, 100–107, 110–121, 122–125,
132–135, 138–139, 142–143
Use objects and geometry modeling
tools to compute the surface area of the
faces and the volume of a threedimensional object built from
rectangular solids.
TWE:
T98–T99, T100–T107, T110–T121,
T122–T125, T132–T135, T138–T139,
T142–T143
Problem Solving
Students make decisions about how to approach problems and communicate their ideas.
PE:
18–31, 59–63, 64–75, 543, 548, 645–
7.7.1 Analyze problems by identifying
651
relationships, telling relevant from
irrelevant information, identifying
TWE: T18–T31, T59–T63, T64–T75, T543,
missing information, sequencing and
T548, T645–T651
prioritizing information, and observing
patterns.
7.7.2
Make and justify mathematical
conjectures based on a general
description of a mathematical question
or problem.
6
PE:
9–12, 119, 121, 170, 307, 345–347
TWE:
T9–T12, T119, T121, T170, T307,
T345–T347
GLENCOE/MCGRAW-HILL
GLENCOE IMPACT MATHEMATICS ©2000
COURSE 2
ALIGNMENT TO
INDIANA
ACADEMIC MATHEMATICS STANDARDS
GRADE 7
7.7.3
OBJECTIVES
Decide when and how to divide a
problem into simpler parts.
PE:
TWE:
PAGE REFERENCES
10–11, 19–21, 26–27, 166–167, 273
T10–T11, T19–T21, T26–T27, T166–
T167, T273
Students use strategies, skills, and concepts in finding and communicating solutions to problems.
PE:
17, 79–83, 231, 322–325, 420–421
7.7.4 Apply strategies and results from
simpler problems to more complex
TWE: T17, T79–T83, T231, T322–T325,
problems.
T420–T421
7.7.5
PE:
34–36, 55, 191–195, 249, 327
TWE:
T34–T36, T55, T191–T195, T249,
T327
Express solutions clearly and logically
by using the appropriate mathematical
terms and notation. Support solutions
with evidence in both verbal and
symbolic work.
PE:
37–41, 225–230, 249, 308, 402–
403,404–408, 410–414
TWE:
T37–T41, T225–T230, T249, T308,
T402–T403, T404–T408, T410–T414
7.7.7
Recognize the relative advantages of
exact and approximate solutions to
problems and give answers to a
specified degree of accuracy.
Hot Words Hot Topics: 174-175, 177, 183,
370, 373, 374, 376, 377, 385, 394
7.7.8
Select and apply appropriate methods
for estimating results of rationalnumber computations.
Hot Words Hot Topics: 132, 134, 137, 140,
141, 149, 151
7.7.9
Use graphing to estimate solutions and
check the estimates with analytic
approaches.
PE:
255–263, 304, 328–329, 629–631
TWE:
T255–T263, T304, T328–T329,
T629–T631
7.7.10 Make precise calculations and check
the validity of the results in the context
of the problem.
PE:
268, 312, 313, 635–643
TWE:
T268, T312, T313, T635–T643
7.7.6
Make and test conjectures by using
inductive reasoning.
7
GLENCOE/MCGRAW-HILL
GLENCOE IMPACT MATHEMATICS ©2000
COURSE 2
ALIGNMENT TO
INDIANA
ACADEMIC MATHEMATICS STANDARDS
GRADE 7
OBJECTIVES
PAGE REFERENCES
Students determine when a solution is complete and reasonable and move beyond a particular
problem by generalizing to other situations.
PE:
6–9, 17–18, 225–233, 301–305
7.7.11 Decide whether a solution is
reasonable in the context of the
TWE: T6–T9, T17–T18, T225–T233, T301–
original situation.
T305
7.7.12 Note the method of finding the solution
and show a conceptual understanding
of the method by solving similar
problems.
8
PE:
38–41, 54–63, 244, 322–325
TWE:
T38–T41, T54–T63, T244, T322–
T325
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